Shape Programming for Narrow Ribbons of Nematic Elastomers

详细信息    查看全文

• 作者：Virginia Agostiniani ; Antonio DeSimone ; Konstantinos Koumatos
• 关键词：Nematic elastomers ; Dimension reduction ; Rod theory
• 刊名：Journal of Elasticity
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：127
• 期：1
• 页码：1-24
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Classical Mechanics; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-2681
• 卷排序：127

文摘

Using the theory of \(\varGamma \)-convergence, we derive from three-dimensional elasticity new one-dimensional models for non-Euclidean elastic ribbons, i.e., ribbons exhibiting spontaneous curvature and twist. We apply the models to shape-selection problems for thin films of nematic elastomers with twist and splay-bend texture of the nematic director. For the former, we discuss the possibility of helicoid-like shapes as an alternative to spiral ribbons.